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Question: problem 3 in this problem we will consider a simple...

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Problem 3. In this problem, we will consider a simple version of the attrition-and-elimination game. S is the set of integers from 1 to n where n 2 1. Suppose that we repeat the following operations Randomly pick an integer x in S, and remove from S all integers y2x Prove that S becomes empty after in expectation O(log n) operations.

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